The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.
Answers
The height of the hall is 7.2 m.
Step-by-step explanation:
Given :
Dimensions of the hall are:
Length of the hall = 18m
Width of the hall = 12m
A.T.Q
Area of the floor and the flat roof = Sum of the areas of four walls ………(1)
Area of the floor and the flat roof = lb + lb = 2lb
= 2 x 18 x 12
Area of the floor and the flat roof = 432 m²
Sum of the areas of four walls = 2(l + b) h
= 2(18 + 12)h
= (2 × 30)h
= 60 h
Put this value in eq 1
Area of the floor and the flat roof = Sum of the areas of four walls
432 = 60h
h = 632/60
h = 7.2 m
Hence, the height of the hall is 7.2 m.
Hope this answer will help you...
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Answer: above answer is correct